Intro to Calc Daily Agenda

Please see below brief daily agendas, homework assignments and upcoming events/ assessments.

June 2

Seniors' final exam today.

_________________________________________________________________________________________________________________

May 31 & June 1

Review for the final exam on Friday, 6/2.

________________________________________________________________________________________________________________

May 30

Review for the final exam on Friday, 6/2.

_________________________________________________________________________________________________________________

May 26

Students had the opportunity to finish any remaining work or to take the optional assessment on solving related rates applications today.

No Hw due 5/30.

CONGRATS to those exempting the finals! GOOD LUCK to those getting ready to start the finals on Tuesday.

____________________________________________________________________________________________________________

May 25

Last mandatory assessment of the year today (assessment on using the derivative tests to discuss various functions).

No Hw due 5/26.

FYI - Check your school email for important updates & info for tomorrow.

________________________________________________________________________________________________________________________________________________

May 24

We finished our discussion on example #1 and also discussed example #2 using the first and second derivative tests today.

Hw due 5/25 - Look over some of the examples on using the derivative tests to analyze important features of various functions in preparation for our last in- class assessment on using derivative tests to discuss functions tomorrow.

FYI - Important dates:

1. In- class (mandatory) assessment on using derivatives tests to discuss functions on Thursday, 5/25.

2. In- class (optional) assessment on solving related rates on Friday, 5/26. NOTE: You may consider taking this assessment if your score on last week's work on related rates was low and will like to improve that.

___________________________________________________________________________________________________________________

May 23

We discussed example #1 on using the first and second derivative tests today (to be continued tomorrow).

Hw due 5/24 - Finish examples #1 and #2 for tomorrow. NOTE: We can still use some volunteers during class tomorrow.

________________________________________________________________________________________________________________________

May 22

• First and second derivative tests for discussing functions - Lessons from HeyMath (classroom examples and practice examples) - postponed due to technical difficult.
• What do we need the derivatives for? - Examples.
• (If Time) What do we need the antiderivatives (integrals) for? - Examples.
• Hw due 5/23 - Complete the 2 examples left from class on using the first and second derivative tests for analyzing the nature of the stationary points

________________________________________________________________________________________________________________________

May 19

Follow-up to the presentations on related rates applications.

No Hw due 5/22.

_______________________________________________________________________________________________________________________

May 18

Presentations on related rates applications.

No Hw due 5/19.

________________________________________________________________________________________________________________________

May 16 & May 17 (Math MCAS)

Period 1 did not meet these days.

Hw due 5/18 - Be prepared to present your findings on solving related rates applications on behalf of your small group (see the specific details with the agenda on May 12).

______________________________________________________________________________________________________________________

May 15

We discussed the small group investigations & presentations on related rates applications this week.

Hw due 5/18 - Be prepared to present your findings on solving related rates applications on behalf of your small group (see the specific details with the agenda on May 12).

______________________________________________________________________________________________________________________

May 12

1. Use the following electronic resource Related Rates Problems at mathscoop.com to take a look at the given examples on related rates, write the general POA for solving related rates applications and take good notes on problem #1 and problem #2 in your notebook
2. Split in 4 groups of 3-4 students each and start working on the Related Rates Problems listed at the bottom of that webpage (see the link above).
3. Each group should choose one type of related rates problems from the list on that webpage: ladder, sphere, cylinder or cone related problems.
4. Each group is responsible to become an expert in solving that particular type of problem, to make a presentation to teach the other classmates that particular type of related rates problems and to hand in a paper copy of their presentation, including all supporting work.
5. The presenter will be selected randomly, so you should all participate and be ready to present.
6. All presentations are due on Thursday, 5/18. Don't slack off and don't be late!
7. These presentations will be counted as an assessment score. Don't mess up!!!

_____________________________________________________________________________________________________________________

May 10 - May 11

Assessment on finding areas under a curve and between curves.

No Hw due 5/11 or 5/12.

____________________________________________________________________________________________________________________

May 8 & May 9

We went over some of the homework problems in preparation for the upcoming assessment on finding integrals, finding area under the curve and finding area between curves.

Hw due 5/10 - Continue/ finish any remaining assigned problems & STUDY for assessment on Wednesday, 5/10!

_____________________________________________________________________________________________________________________

May 2 - May 5

Examples of using u- substitution for integration (see the worked-out examples and classroom notes in your Intro to Calc folder in the Google Drive).

Continue working on the practice problems on finding area under a given curve and finding area between curves (start with #60 and continue backward).

Hw due on the day of our next assessment (the date of the assessment to be determined) - Finish problems from Google Drive.

_____________________________________________________________________________________________________________________________

May 1

• If you already finished the investigation on the 5 electronic resources from last week, continue with the applications on finding area under the curve and area between curves (see the practice problems pushed out to your Intro to Calc folder in the Google Drive: #46- 54, 56 and 60).
• If you did not finish the investigation yet, do so ASAP, then continue with the selected problems listed above.
• NOTE: Considering that some of you have AP exams this week, the notes on the selected electronic resources and the selected practice problems listed above are due no later than Friday, 5/5. If that does not work for you, please let me know about your situation as soon as possible to make a different arrangement. Please don't wait until last minute!
• FYI - Assessment on finding areas under the curve and areas between curves using definite integrals on Monday, 5/8 or Tuesday, 5/9.

______________________________________________________________________________________________________________________

April 27 & April 28

The following are some electronic resources to investigate, them summarize some of the examples and the big ideas. NOTE: Take good notes in your notebook, to be counted as class work/ homework assignments.

1. http://tutorial.math.lamar.edu/Classes/CalcI/AreaBetweenCurves.aspx

2. https://www.youtube.com/watch?v=DRFyNHdVgUA

3. https://www.youtube.com/watch?v=4bZyfvKazzQ

4. http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-areas-2009-1.pdf

5. http://www.teacherschoice.com.au/maths_library/calculus/area_under_a_curve.htm

________________________________________________________________________________________________

April 26

We continued our portfolio for growth: finding area between curves using Geometry formulas (when possible) and the Fundamental Theorem of Calculus.

Hw due 4/27 - Finish any remaining examples on p. 1- p. 3 that will be collected tomorrow.

_______________________________________________________________________________________________

April 25

We continued our portfolio for growth: finding area under a curve bounded by the curve, the x-axis and two given vertical lines.

Hw due 4/26 - Finish "your turn" on p. 3 for our portfolio for growth.

_______________________________________________________________________________________________

April 24

Recap on the Fundamental Theorem of Calculus & additional example of area under a polynomial curve using this theorem.

Hw due 4/25 - Finish any remaining examples on p. 1 & p. 2 for our portfolio for growth.

FYI - First check on your portfolios on Thursday or Friday. Be prepared.

___________________________________________________________________________________________________________

April 13

Work on our portfolio for growth: finding areas of basic shapes using Geometry formulas and finding definite integrals using the Fundamental Theorem of Calculus (part 2).

No Hw assigned, but make sure your portfolio is up- to- date with p. 1 and p. 2 discussed thus far.

______________________________________________________________________________________________

April 12

Students had the opportunity to continue/ finish the assessment on finding antiderivatives, then we started our portfolio for growth. We discussed some examples of areas of irregular shapes today, using the coordinate method for finding enclosed areas.

Hw due 4/13 - Finish the remaining examples on p. 1 of the portfolio.

NOTE: Check your Intro to Calc folder in the Google Drive for the classroom notes from today and the table of contents for our portfolio of growth.

_______________________________________________________________________________________________

April 11

Assessment on finding antiderivatives.

No new Hw due 4/12.

_________________________________________________________________________________________________

April 10

• Students had the opportunity to continue working on the selected practice problems from Ch. 4 Calc Textbook and ask questions if needed, then complete a self- evaluation on finding antiderivatives at thatquiz.org using the code below:

• Hw due 4/11 - Finish any remaining examples & STUDY for assessment on finding antiderivatives.

________________________________________________________________________________________________

April 7

Students had the opportunity to continue working on the selected practice problems from Ch. 4 Calc Textbook (see the complete list of problems under the agenda on April 5).

FYI: In- class individual assessment on finding antiderivatives on Tuesday, 4/11. Be ready!

______________________________________________________________________________________________

April 6 - Class did not meet (Credit for Life - Seniors Field Trip)

Hw due 4/7 - See the assignments listed under the agenda on April 5.

_____________________________________________________________________________________________

April 5

Practice examples finding antiderivatives on p. 255: #9- 14 all and 25- 35 odd (DUE NO LATER than the day of our in- class assessment, tentative day - Tuesday, 4/11).

NOTE: All assignments on finding antiderivatives (examples #1-16 on the KUTA worksheet, examples #1- 7 on the electronic practice worksheet, and the selected problems on p. 255) are due on the day of the in- class assessment.

_______________________________________________________________________________________________

April 4

Practice examples on finding antiderivatives.

Hw due 4/5 - Finish the examples #1- 7 on the worksheet #2 on finding antiderivatives (check your Intro to Calculus folder in the Google Drive for these examples).

FYI - This worksheet is the first assignment in Q4!

______________________________________________________________________________________________

April 3

We discussed the last assessment on implicit differentiation and plans on improving this assessment.

Hw due 4/4 - Work on the improvements to the assessment on implicit derivatives and bring them in ASAP (the sooner, the better).

________________________________________________________________________________________________________________________

March 31

Practice problems using the power rule for finding antiderivatives (indefinite integrals).

Hw due 4/3 - Continue/ finish examples #1- 16 on the worksheet 05 - Integration Power Rule (check your Intro to Calc folder in the Google Drive for this worksheet; record your work in the notebook; the final answers are listed at the end of the worksheet, on the last page - check your final answers only after you complete the problems).

__________________________________________________________________________________________________________________________

March 30

Introducing the notation for antiderivative (indefinite integral) and classroom examples.

Hw due 3/31 - Finish the class work.

_______________________________________________________________________________________________________________________

March 29

• Summary of our findings on antiderivatives thus far.
• No Hw due 3/30.

_______________________________________________________________________________________________________________

March 28

• Small group work - extending our prior knowledge (continued investigating antiderivatives: examples #6- 13).
• No Hw due 3/29.

_______________________________________________________________________________________________________________

March 27

• Extending our prior knowledge: What function differentiated has this answer? Is this the only function with that property?
• (If time) Watch the following video on introducing antiderivatives (click the link to the video below):
• Intro to Antiderivatives
• No Hw due 3/28.

_____________________________________________________________________________________________________________

March 24

Students had the opportunity to continue/ finish the assessment on implicit differentiation today.

No Hw due 3/27, but if you did not finish the assignments on implicit differentiation yet, complete any remaining work and bring them in no later than Monday, 3/27. This is the last extension for this work.

__________________________________________________________________________________________________________

March 20

Assessment on implicit differentiation (to be continued in class on Friday). NOTE: If you think you need more than the one class period on Friday to finish your assessment, consider staying after school this week (Monday, Wednesday or Thursday anytime between 2:00 and 2:45 PM).

FYI - If you did not have your homework on implicit differentiation yet, please bring it in no later than Friday, 3/24.

____________________________________________________________________________________________________________________________________________________________________

March 8, March 9 and March 13 & March 16

We went over various questions on the selected practice problems on pp. 146- 148 and the examples #1-11 on the worksheet handed out in class on Wednesday, 3/8.

Hw due 3/20 (extended due date!) - Continue/ finish the selected practice problems on pp. 146 - 148 if you did not yet AND the worksheet problems #1-11 using implicit derivatives.

NOTE: If you finished the selected problems on pp. 146- 148, work on the examples #1-11 on the worksheet handed out in class on Wednesday, 3/8 and check your answers on the back of the worksheet.

FYI: The interim quick check on finding implicit derivatives was cancelled. There will be an assessment on implicit derivatives on Monday, 3/20. BE PREPARED!

NOTE: Please respond to the brief survey regarding the classroom interruptions, so I can plan ahead. Thank you!

______________________________________________________________________________________________________________

March 7

Continue working on the selected practice problems on pp. 146- 148:

• Part 1 - p. 146: #1- 15 odd, 21- 27 odd.
• Part 2 - pp. 146- 148: #29- 35 all, 41, 45- 49 odd, 53, 57, 58, and 77.

Hw due 3/8 - Continue/ finish the selected practice problems on pp. 146 - 148. NOTE: We will go over more problems in class on Wednesday (as needed).

FYI - Quiz on finding implicit derivatives on Thursday. Be ready!

_______________________________________________________________________________________________________________

March 6

• We went over various practice problems with implicit derivatives from the previous assignment (p. 146: #1- 15 odd, 21- 27 odd).
• ADD pp. 146- 148: #29- 35 all, 41, 45- 49 odd, 53, 57, 58, and 77.
• Hw due 3/8 - Continue/ finish the selected practice problems on pp. 146 - 148. NOTE: We will go over more problems in class on Wednesday (as needed).
• FYI - Quiz on finding implicit derivatives on Thursday. Be ready!

____________________________________________________________________________________________________________

March 3

Ch. 2 selected practice problems with implicit derivatives (see the tab for the electronic textbook) - p. 146: #1-15 odd, 21-27 odd.

Hw due 3/6 - Continue the class work.

_____________________________________________________________________________________________________________

March 2

We went over the implicit derivatives for each of the examples #1- 5 assigned this week.

No Hw due 3/3. We will select practice problems using implicit derivatives from the electronic book tomorrow.

______________________________________________________________________________________________________________________________________________

February 28 & March 1

Intro to Implicit Derivatives. Why do we need this?

No Hw due 3/2.

________________________________________________________________________________________________________________

February 27

Students had the opportunity to ask questions and continue/ finish the selected problems from Ch. 2 Calculus Textbook:

• Practice problems (part 1) - p. 137: #7 - 31 odd, 41- 57 odd, 67- 73 odd, 81- 85 odd, 97.
• Practice problems (part 2): - pp. 139-140: #98- 100 all, 102, 108 a, 111, 112, 114- 117 all, 120, 121.

NOTE: These problems should be completed and turned in no later than Wednesday, 3/1. Tomorrow we will start implicit differentiation in class. Please don't get behind.

________________________________________________________________________________________________________________

February 17

Second interim check on using the chain rule and other derivatives.

No new Hw assigned, enjoy the vacation!

NOTE: If you asked for an extension to continue the work, make sure to finish it and bring it in after the break. We will take 1-2 more days to finish the last part of the selected problems on pp. 137- 140, before moving on to implicit differentiation.

________________________________________________________________________________________________________________

February 15 and February 16

Continue working on the selected problems on pp. 137- 140 from Ch. 2 Calculus Textbook.

NOTE: The selected problems are due on Friday, unless you asked for an extension.

FYI - Assessment on chain rule and other derivative rules postponed for Friday. Please STUDY.

____________________________________________________________________________________________________________________________________________

February 14

We went over various questions from the selected problems on pp. 137- 140.

___________________________________________________________________________________________________________________

February 10

• Take a look at your interim quiz (continue for a few minutes if needed).
• Go over questions from the selected problems on pp. 137- 138.
• ADD pp. 139-140: #98- 100 all, 102, 108 a (108 b and 108 c - BONUS, write your solutions on separate piece of paper and turn them in on Monday!), 111, 112, 114- 117 all, 120, 121.
• NOTE: The first part of the selected problems in section 2.4 and the problems added today are due on the day of your assessment next week (date to be determined based on students' progress for the next 2-3 days). The bonus problems listed above (in blue) are due on Monday.
• FYI - Assessment on using the chain rule and other derivative rules to differentiate various functions next week. Be ready!

_____________________________________________________________________________________________________________

February 9

SNOW DAY * * *

_____________________________________________________________________________________________________________

February 8

Interim quiz on chain rule and other derivative rules.

No new Hw assigned, but continue working on the selected problems in section 2.4 (pp. 137- 138 in Ch. 2 Calculus Textbook).

_____________________________________________________________________________________________________________

February 7

Students had the opportunity to work on the selected practice problems using the chain rule and other differentiation rules to find derivatives of given functions or the tangent lines to a given function at a given point.

No new Hw assigned, but work on the selected problems on pp. 137- 138 from Ch. 2 Calculus Textbook (see the list of problems in red under the agenda for February 6).

FYI - Quiz tomorrow. Be prepared!

___________________________________________________________________________________________________________

February 6

• Warm-ups: Check out worked-out examples #12 (using the chain rule repeatedly to find the derivative) and #13 (find the equation of the tangent line to a given function) on p. 135- 136 in Ch. 2 Calculus Textbook.
• Practice problems (part 1) - p. 137: #7 - 31 odd, 41- 57 odd, 67- 73 odd, 81- 85 odd, 97.
• Hw due 2/7 - Continue the class work. NOTE: You should try to make some progress every night. There will be some more problems added this week. The entire list of problems is due by the end of the week.
• FYI - We will have a quiz on using chain rule and other derivative rules to differentiate functions on Wednesday. Be ready!

___________________________________________________________________________________________________________

February 2 & February 3

We discussed some chain rule problems with multiple layers today.

Hw due 2/6 - Continue/ finish any remaining examples on the right- sides of the worksheet handed out this week.

NOTE: We should be done and turn this worksheet in on Monday. The projected date for our next assessment is Wednesday, 2/8. Be ready!

___________________________________________________________________________________________________________________

February 1

We went over the homework questions using the chain rule with the product, quotient and power rule (#5-7 on each side of the worksheet handed out this week).

No Hw due 2/2 .

___________________________________________________________________________________________________________________

January 31

We went over some of the homework questions, then tried a more challenging example on using the chain rule with the product rule.

Hw due 2/1 - Continue examples #5, 7 on each side of the worksheet handed out in class today.

_____________________________________________________________________________________________________________

January 30

• Quiz on using the chain rule for finding derivatives.
• Classroom examples: using the chain rule and other differentiation rules (trig derivatives, exponential and logarithmic derivatives) to find various derivatives.
• Hw due no later than 2/1 - Finish exercises #1-5 on the worksheet pushed out to your Intro to Calc folder in the Google Drive.

______________________________________________________________________________________________________________

January 27

More examples on using the chain rule for finding derivatives.

Hw due 1/30 - finish the remaining problems on the front and back of the worksheet from this week.

FYI - Assessment on using the chain rule learned so far on Monday. Be ready!

_____________________________________________________________________________________________________________________

January 26

More examples on using the chain rule for finding derivatives.

Hw due 1/27 - Work on the exercises #1-12 on the right- side of the worksheet handed out on Wednesday.

FYI - We will discuss more examples using the chain rule tomorrow in class. Please check your Intro to Calc folder in the Google Drive if you need the classroom notes for day 3. You also have the notes from day 1 and day 2 there.

There will an assessment on using the chain rule learned so far on Monday. Be ready!

_____________________________________________________________________________________________________________________

January 25

Examples on using the chain rule for finding derivatives.

Hw due 1/26 - Work on the exercises #1- 8 on the left- side of the worksheet handed out in class today.

FYI - We will discuss more examples using the chain rule tomorrow in class. Please check your Intro to Calc folder in the Google Drive if you need the classroom notes for day 1 and day 2 on using the chain rule.

NOTE: Don't forget to turn in the paper with your work on using the product and quotient rule for finding derivatives if you did not yet. The pictures with your work were supposed to be uploaded already, along with the link to the digital resource you found.

______________________________________________________________________________________________________________________________________________

January 24

Intro Chain Rule (to be continued tomorrow).

No new Hw due tomorrow, but finish the last assignment (see yesterday's agenda) due no later than tomorrow at 2 PM.

__________________________________________________________________________________________________________________________

January 23

We discussed the midterm exams, then recalled the Product and Quotient Rules for finding derivatives.

Hw due no later than Wednesday, 1/25 at 2 PM:

1. Contribute one link (electronic resource) on using the product and quotient rules for finding derivatives.

2. Pick one example of a derivative using the product rule and one example of a derivative using the quotient rule.

FYI - Your final product will be graded on completion/ effort and accuracy.

____________________________________________________________________________________________________________________________

January 17

Midterm exam today.

_________________________________________________________________________________________________________________________

January 13

Continue working on the selected worksheet problems & the selected problems on pp. 126- 128 in the Ch. 2 Calc Textbook:

• KUTA worksheet on using the product rule for finding derivatives: #1-9 all, 11, 14.
• KUTA worksheet on using the quotient rule for finding derivatives: #1-6 all, 10, 12.
• pp. 126- 129: #1-17 odd, 21-53 odd, 62, 63, 65, 73, 78, 79, 83, 95, 101 and 116. These problems are from Ch. 2 Calculus textbook (see the tab for the Intro to Calculus Resources above).

FYI - The selected midterm review problems are due on the day of the exam if you want to be considered for bonus points.

________________________________________________________________________________________________________________________________________

January 12

• Warm-up: Differentiate y = (x^2)(sinx)
• Finding derivatives using product rule or quotient rule
• Continue working on the selected worksheets problems & the selected problems on pp. 126- 129 in the Ch. 2 Calc Textbook.

__________________________________________________________________________________________________________________________________

January 11

• Add more differentiation rules: Product Rule & Quotient Rule.
• The following problems are practice problems due on the day of the midterm if you want to be considered for bonus points:
• Selected problems on the two worksheets on using product/ quotient rule to differentiate.
• pp. 126- 129: #1-17 odd, 21-53 odd, 62, 63, 65, 73, 78, 79, 83, 95, 101 and 116 (these problems are in Ch. 2 Calculus textbook - see the Intro to Calculus Resources above).

_________________________________________________________________________________________________________________________

January 9 & January 10

• Quiz on finding derivatives using the rules learned so far.
• No Hw due 1/10.

______________________________________________________________________________________________________________________

January 6

Making connections between the graph of f and f'.

Hw due 1/9 - pp. 104- 106:#47, 59, 67, 68, 81- 86, 91- 96.

FYI - Assessment on finding derivatives using the rules learned so far and relationships between f and f' on Monday. Be ready!

________________________________________________________________________________________________________

January 5

We went over various homework questions on pp. 115- 116.

No new Hw assigned, but finish any remaining problems on pp. 115- 116:#19-24 all, 37, 38, 51, 52, 61, 62, 75, 76.

FYI - The quiz on using the derivative rules learned so far postponed for Monday. Be ready! This week's work is also postponed for Monday. There will be some problems on exploring the relationships between f an f' added on tomorrow, which will be due on Monday, too.

______________________________________________________________________________________________________________________

January 4

ADD-ON: trig derivatives.

Hw due 1/5 - pp. 115- 116:#19-24 all, 37, 38, 51, 52, 61, 62, 75, 76.

FYI - This week's work (the problems listed in red above and the problems added on Thursday) is due no later than Friday, 1/6, when we have a quiz on using the derivative rules learned so far. Be ready!

________________________________________________________________________________________________________________________

January 3

Review Power, Constant, Sum/ Difference Rules for finding derivatives in various examples.

No Hw due 1/4.

_______________________________________________________________________________________________________________________

December 23

We went over the problems in the quick check #2 and discussed POA between January 3rd and the day of the midterm exam.

________________________________________________________________________________________________________________________

December 22

Quick check #2 on using derivative rules learned so far in practice problems.

No new problems added on to the list, but finish the assignment from this week and hand it in tomorrow.

________________________________________________________________________________________________________________________

December 21

ADD p. 104: #33, 35, 41, 42, 46

________________________________________________________________________________________________________________________

December 19 & December 20

We discussed some of the examples using derivatives on p. 104 from the Ch. 2 Calculus Textbook.

Hw due 12/21 - Work on #12-24 even AND #25- 31 odd on p. 104.

NOTE: Here is the list of the problems that were assigned so far and should be completed by 12/21 - p. 104: #11-24 all and #25- 31 odd. Some of them were completed in class. Check your classroom notes!

FYI - There will be more problems added to the list of practice problems most days this week. Don't fall behind!

There will be a second quick (interim) check on finding derivatives using the rules learned so far on Thursday. Be ready!

___________________________________________________________________________________________________________________________________

December 16

Work on selected problems #11-23 odd on p. 104 from Ch. 2 Calculus Textbook (see the tab for Intro to Calculus Resources above) - to be continued as homework due 12/19.

_____________________________________________________________________________________________________________________

December 14 & December 15

• Quiz on finding tangent slopes (a.k.a. finding derivatives) to various functions at given points on Wednesday, 12/14, continued/ finished on Thursday, 12/15.
• Students also had the opportunity to discuss and revise their self- evaluations and write their group evaluations on the Google Slides presentations on investigating patterns in the tangent slopes.
• No new Hw assigned, but finish any remaining problems from the previous assignment (see the list of selected problems from Ch. 2 Applied Calculus Textbook under the agenda for December 12 & December 13).

____________________________________________________________________________________________________________________

December 12 & December 13

• Work on the updated list of problems on finding tangent slopes (a. k. a. finding derivatives) to various functions at given points - pp. 92-93: #5, 6, 11, 12, 14, and 15-20.
• NOTE: For #15-20 use the derivative rules learned so far to find the derivative of each given function (called f'(x)), then evaluate f'(2).
• Already done last week: Example #3/ p. 87 (check notes), Examples 4 and 5 on pp. 88-89 (these are worked-out in the electronic book), Read/ understand the interpretation of derivative on pp. 90- 91 (this last part is for reading only, you don't have to take notes on it).
• FYI - The selected problems should be turned in no later than Wednesday, 12/14. Our next assessment is on Wednesday. Be prepared!

________________________________________________________________________________________________________________________

December 9

We went over some of the examples that students chose to investigate and the warm-up examples from Wednesday.

No Hw due 12/12, but try some of the selected practice problems in Ch. 2 Applied Calculus if you know how to do them.

______________________________________________________________________________________________________________________________________

December 7

• Warm-ups: Find the derivatives of the following
• 1. f(x) = cubicroot(x)
• 2. f(x) = abs (x-2)
• All students had the opportunity to check/ correct/ add on to the individual solutions that other classmates did. We will summarize our finding tomorrow in class.

NOTE: If you understand how to complete the practice problems in the Ch. 2 Applied Calculus book (see list below) start working on them, but if you are not sure what to do, hold on until tomorrow after we summarized our conclusions.

_________________________________________________________________________________________________________________________

December 6

• Check our summary on finding derivatives done so far.
• Practice examples using these rules (to be continued as Hw) - from Ch. 2 Applied Calculus book posted under the Intro to Calculus Resources (see tab above):
• 1. Example #3/ p. 87
• 2. Examples 4 and 5 on pp. 88-89
• 3. Read/ understand interpretation of derivative on pp. 90- 91, then complete #5-14 and 21-23 on pp. 92-95.

_____________________________________________________________________________________________________________________________

December 5

• Wrap-up our Google slides and final summary of our conclusions.
• Writing general power rule, constant rule, sum/ difference rule for finding derivatives based on our findings from the small group investigations.

NOTE: Couple of volunteers need to edit the conclusions and rules in our Google Slides.

__________________________________________________________________________________________________________________________

November 28 to December 2

Small group investigations on recognizing patterns in finding tangent slopes to various polynomials (quadratic, cubic, quartic and quintic) and reciprocals (specific examples assigned to each group).

NOTE: Each group should design a POA and decide what examples to include (consider the parent function, then various leading coefficients and various combinations of terms) in our Google Slides that are to be ready for our classroom presentations starting on Thursday, December 1

_____________________________________________________________________________________________________________________________

November 23

We looked at the updated answers on the last activity on investigating patterns for finding tangent slopes at student.desmos.com, then started a shared Google Slides for recording our findings on investigating patterns for calculating the tangent slopes of various functions at student.desmos.com.

No Hw due 11/28. Have a nice Thanksgiving!

_______________________________________________________________________________________________________________________________________________

November 22

We did a quick check on the understanding on the intro derivatives learned so far, then discussed students' answers along with the answers on the last activity on investigating patterns for finding tangent slopes at student.desmos.com.

No Hw due 11/23, but submit your answers on the last activity on investigating patterns for finding tangent slopes at student.desmos.com if you did not yet.

_____________________________________________________________________________________________________________________________________________

November 21

We looked back at our findings on the relationship between the slope of a tangent line to a curve at a given point and the limit of the function approaching the same x-value, then worked on the second part of our investigation on patterns in the tangent slopes.

Hw due 11/22 - Finish the class work.

FYI - Possible check on your understanding on the intro derivatives done so far.

__________________________________________________________________________________________________________________________

November 15 - November 18

Continue the investigations on the tangent slopes of various functions.

Hw due 11/21 - Write your observations when comparing the problems that we did on Friday, and be prepared to share our your findings.

__________________________________________________________________________________________________________________________

November 14 with Mr. Hansberry

Revisit our investigation on the slopes of a function and moving forward to investigating the slopes of the tangent lines (to be continued tomorrow).

No Hw due 11/15.

_______________________________________________________________________________________________________________________

November 9 and November 10

Mr. Hansberry was our guest teacher on investigating the slopes of a function.

Hw due 11/14 - Finish this activity at student.desmos.com if you did not yet.

__________________________________________________________________________________________________________________________________________

November 7

NOTE: All items in the agenda below are due no later than Wednesday, 11/9/16!

• Continue/ finish the small group investigation from Friday (only if needed).
• Check out the following websites to respond to the questions "What is Calculus?" and "What is a derivative?". NOTE: You don't have to take notes on (1) and (2) below, but you should be writing your answers on paper for (3). Try to read/ understand these concepts and complete this work by Wednesday, so that you do not fall behind.
• 1. http://www.mathscoop.com/calculus/what-is-calculus.php
• 2. http://www.mathscoop.com/calculus/derivatives/what-is-a-derivative.php
• 3. Complete the short derivative practice quiz (with answers provided on the page) - Click on the following link http://www.mathscoop.com/calculus/derivatives/tangent-secant-derivative-quiz.php

________________________________________________________________________________________________________________________________

November 4

• Small group investigation/ check understanding on finding limits towards a constant or towards infinity algebraically and graphically. Students also had the opportunity to discuss the last short- responses with their partners and possibly add more work or explanations before being graded.
• No new Hw assigned, but finish any remaining limits at infinity on the worksheets handed out this week, due no later than Wednesday, 11/9.

__________________________________________________________________________________________________________________________________

November 3

• More practice finding limits at infinity.
• Hw due 11/4 - Finish any remaining problems.

_________________________________________________________________________________________________________________________

November 2

• More practice finding limits at infinity.
• Hw due 11/4 - Finish any remaining problems.

________________________________________________________________________________________________________________________________

November 1

• We went over some of the practice problems finding limits towards infinity from the KUTA worksheet "01 Limits at Infinity".
• Hw due 11/2 - Finish any remaining problems on this worksheet. We will have more examples added this week.
• FYI - All work is due on Friday.

______________________________________________________________________________________________________________________________

October 31

• Classroom Examples/ In- class Discussion: Limits towards infinity at mathsisfun.com (sorry this website seems to be blocked from your Chromebook, you may try to access it from a different device if you were absent today).
• Practice examples on finding limits towards infinity - KUTA worksheet "01 Limits at Infinity" (check your Intro to Calculus folder in your Google Drive).
• Hw due 11/1 - Finish the class work.

_________________________________________________________________________________________________________________

October 28

Students had the opportunity to work more on the selected problems assigned this week and ask questions as needed.

FYI - The selected problems on pp. 78-82 and the open- response problems on p. 82 postponed for Monday, 10/31!

_______________________________________________________________________________________________________________

October 27 - College Fair today. We will resume any remaining work on the selected problems on limits and continuity tomorrow in class.

_______________________________________________________________________________________________________________

October 24 - 26

• Check your Intro to Calculus folder in the Google Drive for a .pdf file on limits and continuity: definitions, properties and theorems and refer back to this file as/if needed.
• More practice problems with limits and continuity (due no later than Friday, 10/28/16) - work on the selected exercises for section 1.4 on pp. 78- 82 in Ch. 1_Calculus Textbook: #1-6 all, 7-11 odd, 16, 17, 25-29 all, 31, 32, 37-43 all, 45, 46, 57-61 all, 63, 67, 69-72 all.
• Complete and hand in no later than Friday, 10/28/16 - pick one of these: #73 or #74, then do #87-90 all.
• NOTE: These 5 problems will be graded as open- response problems.

_________________________________________________________________________________________________________________

October 21

We played some games involving limits at Quizlet Live.

No Hw due 10/24.

__________________________________________________________________________________________________________

October 20

Students had the opportunity to continue/ finish the assessment on finding limits towards a constant today.

No Hw due 10/21.

______________________________________________________________________________________________________________________________________

October 20 - P1 did not meet due to PSAT testing today.

______________________________________________________________________________________________________________________________________

October 18

• Assessment on finding limits today - to be continued in class on Thursday.
• No Hw due 10/20.

_______________________________________________________________________________________________________________________________________

October 13 - October 17

• We went over some examples on finding limits algebraically using the rationalizing the numerator strategy or using the Grandaddy LCD for simplifying complex fractions, followed by direct substitution, making a sketch of a possible function using limited (given) information about its outputs & limits, finding trig limits algebraically using one of the fundamental trig limits (limit sinx/x=1 if x approaches 0) or a trig identity followed by the fundamental trig limit.
• No new Hw assigned.
• FYI - Based on the results on our class poll, the in- class assessment on finding limits towards a constant is postponed for Tuesday, 10/18/16, after working on more practice problems in class on Thursday, Friday and Monday in preparation for this assessment, but there will be no other mandatory problems assigned for homework. However, you may pick more problems in section 1.3 in the Chapter1_ calculus-textbook for extra practice. The open- response questions on p. 57: #53- 56 all have to be handed in on the day of the assessment, to be included in this assessment.

_______________________________________________________________________________________________________________________________

October 12

We discussed some examples on trig limits solved algebraically (when reasonable and appropriate), numerically and graphically.

Hw due 10/14 - Work on the open- response questions on p. 57: #53-56 all, to be handed in on the day of the assessment, counted as a take- home assessment. NOTE: These problems will be used as the open- response portion of the assessment.

FYI - In- class individual assessment on finding limits towards a constant on Friday, 10/14/16. Be ready!

_________________________________________________________________________________________________________________________________

October 7 & October 11

• Friday: Finding limits of various functions algebraically, numerically and graphically. We discussed some examples of finding limits algebraically using substitution, factoring and simplifying and rationalizing the numerator, then simplifying and substitution.
• Tuesday: We continued working on the selected problems #1-23 odd on p. 54, due tomorrow!
• Hw (in progress) due 10/12 - #1-23 odd/ p. 54 (see Intro to Calculus Resources - Chapter1_ calculus-textbook - Exercises for Section 1.2).

__________________________________________________________________________________________________________________________

October 4 - October 6

• Students had the opportunity to continue/ finish any remaining work on the packet #1 on finding limits AND work on the online self- checks (see the link to these quizzes posted with the agenda for October 3).
• Reminder: All class work and online quizzes from this week are due no later than Friday, 10/7/16 at 2:00 PM.
• NOTE: Don't forget to email me a screenshot of each quiz to get the credit for your work.

__________________________________________________________________________________________________________________________

October 3

• Continue/ finish the second half of the packet #1 on finding limits handed out on Friday.
• When finished with the practice examples on finding limits in the packet #1, test yourself (click the following link): Online Self- Checks
• NOTE: Email me directly screenshots of each individual quiz that you completed to receive credit for your work. All quizzes should be completed and emailed to me no later than Friday, 10/7/16 at 2:00 PM.

___________________________________________________________________________________________________________________________________________________

September 30

We discussed some examples of one- sided limits (left-side, right- side and overall limits), how to conclude if a function has a limit when x approaches a certain value and how to tell if a function is continuous on a certain interval (or all the real numbers).

Hw due 10/3 - Continue the class work (you should try to complete the examples in the first half of the packet on limits handed out today).

___________________________________________________________________________________________________________________________________________________

September 29

Discuss the characteristics of a given graph of a rational function (identifying x and y- intercepts, asymptotes, discontinuities and limits) and write a possible equation of the given function.

No Hw due 9/30.

____________________________________________________________________________________________________________________

September 26 - September 28

Trig Review - click the following link Solving Trigonometric Equations Using Various Strategies

NOTE: We will continue the small group work on the trig review in class tomorrow.

FYI - You may bring your Practice Set #3 to be graded no later than Wednesday if you did not turn it in yet.

_______________________________________________________________________________________________________________

September 19 - September 23

Continue reviewing the Algebra pre-requisites for Calculus - work on the selected exercises on p. 58, 66 and 72 in the Ch. 1 Applied Calculus (see the Intro to Calculus Resources above for the electronic book and check the list below for the selected problems).

FYI - The Practice Set #3 (exercises on p. 58: #1- 25 odd, p. 66: #2, 3, 6, 7-16 all and p. 72: #1-9 odd, 13- 27 odd, 31 and 33) is due by Monday, 9/26.

__________________________________________________________________________________________________________________

September 16

Students had the opportunity to continue/ finish any remaining problems in the Practice Set #2 and hand them in today.

No Hw due 9/19.

______________________________________________________________________________________________________________________

September 15

• Continue to review more Algebra concepts and skills: finding the min/ max of a quadratic function algebraically and solving inequalities graphically today.
• No new Hw assigned, but finish the selected problems in the Practice Set #2 (problems #1-11 odd, 4, 13- 25 odd, 24-28 even, 31-36, 40, 45-48, and 51) due tomorrow.
• NOTE: Show all algebraic work for the modeling problems (#45- 48) as discussed in class.

__________________________________________________________________________________________________________________________________________________

September 12 - September 14

• Continue working on the selected problems in the first part of the practice set #2.
• ADD #31-36, 40, 45-48, and 51 to our list from Friday.
• FYI - All the selected problems in the Practice Set #2 due on Friday!

____________________________________________________________________________________________________________________________________________________

September 9

• Concept Review/ Add-on: Composition of Functions: Composition of Functions at regentsprep.org
• Using the graphing calculator to investigate composition of functions
• Start working on the Practice Set #2: selected problems #1-11 odd, 4, 13- 25 odd, 24-28 even.
• NOTE: We will add more problems to this list next week. Most likely Practice Set #2 will be due next Friday, 9/16.

_______________________________________________________________________________________________________________________________________________________

September 8

• Small group presentations (the last 3 groups) on the exploration of various functions.
• Continue/finish working on the Practice Set #1 - due tomorrow!

_______________________________________________________________________________________________________________________________________________________

September 7

• Small group presentations (the first 3 groups) on the exploration of various functions.
• Continue working on the Practice Set #1 - due Friday!

__________________________________________________________________________________________________________________________________________________

September 6

Ch 1 Review: Practice Set #1 (problems #1-30) - due on Friday.

Hw (in progress) - Continue working on the Practice Set #1.

__________________________________________________________________________________________________________________________________________________

September 2

Small group exploration on the various features of the functions that each group created.

Hw due 9/6 - Finish/ polish up any remaining work on your function exploration and be ready to share with your classmates on Tuesday.

____________________________________________________________________________________________________________________________________________________

September 1

We looked at some basic parent functions, then created our own functions to explore in small groups (to be continued tomorrow in class). NOTE: Each graph should have some nice features that you should consider during the exploration. Each group should have a paper that could be shared with the class when we are done.

Hw due 9/2 - Continue the exploration of the various features on the graphs that you created in class.

______________________________________________________________________________________________________________________

August 31

We discussed the course expectations today.

Hw due 9/1 - Bring back the signed course expectations (only the separate signature page) and the student survey.